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Finding the Third Proportional to 31,666 and 66,908

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Solution

The third proportional to 31,666 and 66,908 is: 141,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666 : 66,908 = 66,908 : x
  2. Step 2: Convert to fraction form
    31,666/66,908 = 66,908/x
  3. Step 3: Cross multiply
    31,666x = 66,908 × 66,908
  4. Step 4: Simplify right side
    31,666x = 4,476,680,464
  5. Step 5: Solve for x
    x = 4,476,680,464/31,666
  6. Step 6: Final answer
    x = 141,371.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.